Counting integers? Where are stars then?

Geometry Level 3

Consider a triangle drawn on the x x - y y plane with its the vertices at ( 41 , 0 ) , ( 0 , 41 ) (41,0),(0,41) and ( 0 , 0 ) (0,0) each vertices represented by its ( x , y ) (x,y) coordinates. Find the number of points with integer coordinates in the triangle (exclude the boundary).


The answer is 780.

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1 solution

It is 1+2+....+39.

Counting on starting at (39,1) upto (1,1),....(1,39) all points for each x value.

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